Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = 
csc² x = 1 + cot² x
Given
tanθ = 
, then cotθ = 
csc²θ = 1 + ( )² = 1 + 
= 
cscθ = ± 
= ± 
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - × 
= - 
80-64=24
24 is 30% of 80 so a decrease of 30%
<span>11(23-x)
= 11(23) - 11x
= 253 - 11x</span>
Answer:
in steps
Step-by-step explanation:
12 - 6 x 2 + 3 = 3
(12 - 6 ÷ 2) x 3 = 27 .... ??
12 ÷ 6 + 2 x 3 = 8
12 ÷ 6 + 2 + 3 = 7
12 + 6 ÷ 2 + 3 = 18
Answer:
Step-by-step explanation:
The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...
1 : √3 : 2
Side x is thus twice the length of short side 4, so x = 8.
Side y is √3 times the length of short side x-6 = 2, so y = 2√3.
_____
If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.
x = √(4² +(4√3)²) = √64 = 8
y = √(4² -2²) = √12 = 2√3
